%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM613+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:43:21 PM UTC 2026
% Result : Theorem 0.19s 10.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM613+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/10.42 % Computer : n010.cluster.edu
% 0.15/10.42 % Model : x86_64 x86_64
% 0.15/10.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/10.42 % Memory : 8046.5625MB
% 0.15/10.42 % OS : Linux 6.8.0-71-generic
% 0.15/10.42 % CPULimit : 300
% 0.15/10.42 % WCLimit : 300
% 0.15/10.42 % DateTime : Mon Sep 21 02:45:06 UTC 2026
% 0.15/10.42 % CPUTime :
% 0.15/10.44 % Drodi V4.1.1
% 0.19/10.51 % Refutation found
% 0.19/10.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/10.51 % SZS output start CNFRefutation for theBenchmark
% 0.19/10.51 fof(f26,axiom,(
% 0.19/10.51 (! [W0,W1] :( ( aElementOf0(W0,szNzAzT0)& aElementOf0(W1,szNzAzT0) )=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)=> W0 = W1 ) ) )),
% 0.19/10.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.51 fof(f80,hypothesis,(
% 0.19/10.51 ( aElementOf0(xk,szNzAzT0)& szszuzczcdt0(xk) = xK ) ),
% 0.19/10.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.51 fof(f109,hypothesis,(
% 0.19/10.51 ( sbrdtbr0(xQ) = szszuzczcdt0(xk)& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)& aElementOf0(sbrdtbr0(xP),szNzAzT0) ) ),
% 0.19/10.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.51 fof(f110,conjecture,(
% 0.19/10.51 sbrdtbr0(xP) = xk ),
% 0.19/10.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/10.51 fof(f111,negated_conjecture,(
% 0.19/10.51 ~(sbrdtbr0(xP) = xk )),
% 0.19/10.51 inference(negated_conjecture,[status(cth)],[f110])).
% 0.19/10.51 fof(f194,plain,(
% 0.19/10.51 ![W0,W1]: ((~aElementOf0(W0,szNzAzT0)|~aElementOf0(W1,szNzAzT0))|(~szszuzczcdt0(W0)=szszuzczcdt0(W1)|W0=W1))),
% 0.19/10.51 inference(pre_NNF_transformation,[status(thm)],[f26])).
% 0.19/10.51 fof(f195,plain,(
% 0.19/10.51 ![X0,X1]: (~aElementOf0(X0,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(X1)|X0=X1)),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f194])).
% 0.19/10.51 fof(f384,plain,(
% 0.19/10.51 aElementOf0(xk,szNzAzT0)),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f80])).
% 0.19/10.51 fof(f454,plain,(
% 0.19/10.51 sbrdtbr0(xQ)=szszuzczcdt0(xk)),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f109])).
% 0.19/10.51 fof(f455,plain,(
% 0.19/10.51 szszuzczcdt0(sbrdtbr0(xP))=sbrdtbr0(xQ)),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f109])).
% 0.19/10.51 fof(f456,plain,(
% 0.19/10.51 aElementOf0(sbrdtbr0(xP),szNzAzT0)),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f109])).
% 0.19/10.51 fof(f457,plain,(
% 0.19/10.51 ~sbrdtbr0(xP)=xk),
% 0.19/10.51 inference(cnf_transformation,[status(thm)],[f111])).
% 0.19/10.51 fof(f521,plain,(
% 0.19/10.51 szszuzczcdt0(sbrdtbr0(xP))=szszuzczcdt0(xk)),
% 0.19/10.51 inference(forward_demodulation,[status(thm)],[f454,f455])).
% 0.19/10.51 fof(f746,plain,(
% 0.19/10.51 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(sbrdtbr0(xP))|X0=sbrdtbr0(xP))),
% 0.19/10.51 inference(resolution,[status(thm)],[f195,f456])).
% 0.19/10.51 fof(f749,plain,(
% 0.19/10.51 ![X0]: (~aElementOf0(X0,szNzAzT0)|~szszuzczcdt0(X0)=szszuzczcdt0(xk)|X0=sbrdtbr0(xP))),
% 0.19/10.51 inference(forward_demodulation,[status(thm)],[f521,f746])).
% 0.19/10.51 fof(f794,plain,(
% 0.19/10.51 ~szszuzczcdt0(xk)=szszuzczcdt0(xk)|xk=sbrdtbr0(xP)),
% 0.19/10.51 inference(resolution,[status(thm)],[f749,f384])).
% 0.19/10.51 fof(f797,plain,(
% 0.19/10.51 xk=sbrdtbr0(xP)),
% 0.19/10.51 inference(trivial_equality_resolution,[status(thm)],[f794])).
% 0.19/10.51 fof(f798,plain,(
% 0.19/10.51 $false),
% 0.19/10.51 inference(forward_subsumption_resolution,[status(thm)],[f797,f457])).
% 0.19/10.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/10.52 % Elapsed time: 0.092008 seconds
% 0.19/10.52 % CPU time: 0.384864 seconds
% 0.19/10.52 % Total memory used: 115.497 MB
% 0.19/10.52 % Net memory used: 115.035 MB
%------------------------------------------------------------------------------